Is it possible to implement Asimov's Three Laws of Robotics?
The most challenging part is this section of the first law:


  or through inaction allow a human being to be harmed


Humans manage to injure themselves unintentionally in all kinds of ways all the time. A robot strictly following that law would have to spend all its time saving people from their own clumsiness and would probably never get any useful work done. An AI unable to physically move wouldn't have to run around, but it would still have to think of ways to stop all accidents it could imagine. 

Anyway, fully implementing those laws would require very advanced recognition and cognition. (How do you know that industrial machine over there is about to let off a cloud of burning hot steam onto that child who wandered into the factory?) Figuring out whether a human would end up harmed after a given action through some sequence of events becomes an exceptionally challenging problem very quickly.